The representation theory of fully group-graded algebras. (English) Zbl 0768.16012
From the introduction: “Let \(G\) be a finite group, \(k\) an algebraically closed field of characteristic \(p\), and \(R\) a fully \(G\)-graded \(k\)- algebra of finite dimension. The most trivial example of such an algebra is \(kG\). This paper attempts to generalize the \(p\)-modular representation theory of the group algebra \(kG\) to the group-graded algebra \(R\)”.
Reviewer: G.Karpilovsky (Chico)
MSC:
| 16W50 | Graded rings and modules (associative rings and algebras) |
| 20C05 | Group rings of finite groups and their modules (group-theoretic aspects) |
| 20C20 | Modular representations and characters |
| 16S34 | Group rings |
Keywords:
finite group; fully \(G\)-graded \(k\)-algebra; \(p\)-modular representation; group algebraReferences:
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